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Finding the Fourth Proportional to 6,284, 8,674.08 and 3,800

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Solution

The fourth proportional to 6,284, 8,674.08 and 3,800 is: 5,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284 : 8,674.08 = 3,800 : x
  2. Step 2: Convert to fraction form
    6,284/8,674.08 = 3,800/x
  3. Step 3: Cross multiply
    6,284x = 8,674.08 × 3,800
  4. Step 4: Simplify right side
    6,284x = 32,961,504
  5. Step 5: Solve for x
    x = 32,961,504/6,284
  6. Step 6: Final answer
    x = 5,245.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.